99829661472 has 288 divisors, whose sum is σ = 305619350400. Its totient is φ = 30832496640.

The previous prime is 99829661467. The next prime is 99829661531. The reversal of 99829661472 is 27416692899.

99829661472 is a `hidden beast` number, since 9 + 9 + 8 + 2 + 9 + 6 + 614 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×99829661472² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40464783 + ... + 40467249.

It is an arithmetic number, because the mean of its divisors is an integer number (1061178300).

Almost surely, 2^99829661472 is an apocalyptic number.

99829661472 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99829661472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152809675200).

99829661472 is an abundant number, since it is smaller than the sum of its proper divisors (205789688928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99829661472 is a wasteful number, since it uses less digits than its factorization.

99829661472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2685 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 99829661472 in words is "ninety-nine billion, eight hundred twenty-nine million, six hundred sixty-one thousand, four hundred seventy-two".